Question 589623:
ASSIGNMENT
Course Code : MS-08
Course Title : Quantitative Analysis for Managerial Applications
Assignment No. : 08/TMA /SEM-I/2012
Coverage : All Blocks
Note: Answer all the questions and submit this assignment on or before April 30, 2012, to the coordinator of your study center.
1. Solve the following simultaneous equations by using Cramer’s rule
3x+2y=13
2x-y=4
2. From the data given below calculate the value of first and third quartiles, second and ninth deciles and forty-fifth and fifty-seventh percentiles.
Height in
centimeters Number of
students Cumulative
frequency
161-167 79 79
167-173 92 171
173-179 60 231
179-185 22 253
185-191 5 258
191-197 2 260
Total 260
3. The probability that a bulb produced by a factory will fuse after certain period of time is 0.05. Find the probability that out of 5 such bulbs
a. None fuses
b. Not more than 2 fuse
c. More than 2 fuse
4. A supplier of components to an electronic industry makes a sophisticated product which sometimes fails immediately it is used. He controls his manufacturing process so that the proportion of faulty products is supposed to be only 5%. Out of 400 supplies in a batch, 26 prove to be faulty. Verify the manufacturer’s claim. Use 0.05 level of significance.
5. The ages of husbands and wives in a community were found to have a correlation coefficient equal to +0.8; the average of husbands’ ages was 25 years and that of wives’ ages 22 years; their standard deviations were respectively 4 and 5 years. Find the two lines of regression and from the lines ,measure
a. The expected age of husband when wife’s age is 12 years
b. The expected age of wife when husband’s age is 33 years
Answer by edjones(8007)   (Show Source):
You can put this solution on YOUR website! 3. The probability that a bulb produced by a factory will fuse after certain period of time is 0.05. Find the probability that out of 5 such bulbs
a. None fuses
b. Not more than 2 fuse
c. More than 2 fuse
.
a) .95^5=.7738
.
b)
(x+y)^5 for x=.95 and y=.05
x^5+5x^4y+10x^3y^2
=.9988
.
c) 1-.9988=.0012
.
Ed
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